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Finding the Fourth Proportional to 319,484.32, 479,046.60 and 106,138

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Solution

The fourth proportional to 319,484.32, 479,046.60 and 106,138 is: 159,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,484.32 : 479,046.60 = 106,138 : x
  2. Step 2: Convert to fraction form
    319,484.32/479,046.60 = 106,138/x
  3. Step 3: Cross multiply
    319,484.32x = 479,046.60 × 106,138
  4. Step 4: Simplify right side
    319,484.32x = 50,845,048,030.80
  5. Step 5: Solve for x
    x = 50,845,048,030.80/319,484.32
  6. Step 6: Final answer
    x = 159,147.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.